EQAO preparation by strand
Grade 3 Mathematics
Prepared by: Pauline Martin and Michelle Parrish
Adapted from www.eqao.com in preparation for grade 3 testing (pre-2020 curriculum)
Keewatin Patricia District School Board, January 2013
Please use “File” + “Make a copy”
Grade 3 | Grade 6 |
EQAO preparation by strand
Grade 3 Mathematics
Prepared by: Pauline Martin, KPDSB Numeracy Facilitator/Mathematics SAT
CONTENTS SLIDES
Patterning and Algebra 134 to 171
Adapted from www.eqao.com in preparation for grade 6 testing
Keewatin Patricia District School Board, January 2013
This resource is intended for classroom use and as practice for your students.
Each strand has questions from the 5 years of EQAO tests (2012, 2011, 2010, 2009, and 2008) in the order that they occur in the assessment. Each question is coded by the strand and overall expectation number, assessment year, and booklet and question number as it appeared in the assessment. For example: NV1 TH 2012 Booklet 1 #7 means Number Sense Overall Expectation #1, achievement chart category Thinking (also called Problem Solving in the earlier assessments) from the 2012 assessment in the first booklet and problem number seven. Should you wish to search out the sample student work to use as exemplars for assessment with your students, you can access the full solutions on the EQAO website. http://www.eqao.com/Educators/Elementary/036/036.aspx?Lang=E&gr=036
Multiple choice and open response have not been separated within a strand. Additional space has been removed for open response questions in the interest of keeping this document as short as possible. Keep in mind that open response questions always provide a full page of working and thinking space.
When practicing multiple choice problems with your students, it might be helpful to encourage students to show their thinking in the space you provide. This will help in developing strategies for solving problems when incorrect answer can be eliminated just by their reasonableness, or lack thereof.
Please notice that although a problem appears in only one strand, there is usually a connection/strategy/skill that can be linked to another strand.
For example,
· probability problems almost always use fraction strategies (number sense)
· patterning problems often involve a number pattern that requires skip-counting or multiplication strategies (number sense)
PATTERNING
AND ALGEBRA
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 TH 2012 Booklet 1 No Tools #6 Look at the growing pattern below.
3, _____, ______, _____, 19
The pattern goes up by the same number each time.
What are the missing numbers?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 AP 2012 Booklet 1 #8 Jane has a book with 11 chapters.
She reads chapter 1 on the first day of April. Three days later, she reads chapter 2.
Will Jane finish the book by April 30th if she continues to read one chapter every three days?
Circle one: Yes No
Explain your answer.
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 KU 2012 Booklet 1 #17 Lily creates a number pattern. She starts at 95 and subtracts 5 each time. Which of the following shows the first 4 numbers of Lilyʼs pattern?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 2012 Booklet 2 #5 A growing number pattern is shown below.
106, 109, 112, 115
What is the pattern rule?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 AP 2011 Booklet 1 No Tools #1 Gregory creates the pattern shown below.
2, 9, _____, 23, 30, 37, _____, _____, 58
What three numbers are missing from the pattern?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 KU 2011 Booklet 1 #13 Which of the following is an example of a repeating pattern?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 PS 2011 Booklet 1 #17 Look at the shaded number pattern on the chart below.
Which of the following charts shows a pattern that uses the same rule?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 KU 2011 Booklet 2 #19 Look at the pattern below.
5, 9, 13, 17, 21, 25
What is the rule for this pattern?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 AP 2011 Booklet 2 #28 Yari wants to collect 83 marbles.
He already has 27 marbles and buys 8 more each week.
How many weeks does it take for Yari to have a total of 83 marbles? Show your work.
It takes ________ weeks for Yari to have 83 marbles.
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 AP 2011 Booklet 2 #35 Claire creates a growing pattern using pencils.
If the pattern continues in the same way, how many pencils will Claire need to make Shape 4, Shape 5 and Shape 6?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 KU 2010 Booklet 1 No Tools # 2 Look at the following pattern.
9, 12, 15, 18, …
If this pattern continues, what will the next three numbers be?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 KU 2010 Booklet 1 #18 Horatio uses toothpicks to create the pattern below.
What number pattern describes the number of toothpicks that Horatio uses?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 AP 2010 Booklet 1 #27 Juanita shades a growing number pattern on the chart.
Complete the chart using Juanita’s pattern rule.
What is Juanita’s pattern rule?
Pattern rule: .
Complete the number pattern below using Juanita’s pattern rule.
11, , , ,
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 PS 2010 Booklet 1 #32 Look at the pattern marked on the number line below.
Which of the following patterns uses the same pattern rule?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 AP 2009 No Tools #5 An increasing pattern is shown.
What are the next four terms in the pattern?
1, 14, 27, 40, 53, _____, _____ _____,_____
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 AP 2009 #7 Sally is making triangles using straws.
She creates a bar graph to show
how many straws she needs to make triangles.
Complete the graph to show the number of straws
for 4, 5 and 6 triangles.
How many straws will Sally need to make 8 triangles?
Justify your answer.
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 KU 2009 #19 Sheni makes a pattern around the edge of her art folder.
What are the next 3 shapes in Sheni’s pattern?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 2008 No Tools #5 Mari is using a rule to make the number pattern shown below.
567, 571, 575, 579, . . .
Which of the following patterns could use the same rule?
〇 892, 888, 884, 880
〇 893, 897, 903, 904
〇 894, 898, 902, 906
〇 895, 900, 905, 910
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 2008 #7 The first four figures in a pattern are shown.
Complete the bar graph below to represent the number of circles in each figure.
How many circles will there be in Figure 7? Explain your thinking.
There will be ______ circles in Figure 7.
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 2008 #13 Starting on July 2nd, Tim washes dishes every 4th day in July. He shades the dates he washes dishes on the calendar.
Which calendar shows the dates shaded correctly?
Patterning and Algebra
PV1 – describe, extend, and create a variety of numeric patterns and geometric patterns;
PV1 2008 #19 A repeating geometric pattern is shown below.
Which of the following completes the pattern?
Patterning and Algebra
PV2 – Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers.
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 AP 2012 Booklet 1 No Tools #4 The marbles in the bags on the scale below are all the same size and mass. The scale is balanced.
How many marbles are in the shaded bag?
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 AP 2012 Booklet 1 No Tools #5 What number makes the addition question below true?
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 KU 2012 Booklet 1 #14 Look at the number sentence below.
30 - 21 = 9
Which of the following number sentences belongs to the same fact family?
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 KU 2011 Booklet 1 #12 Each row in the table below shows an addition fact and a subtraction fact from the same fact family.
Which two facts complete the table?
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 AP 2010 Booklet 1 No Tools #5 Which number completes the following number sentence?
24 - = 17 + 3
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 KU 2010 Booklet 1 #11 Marty solves the following question.
65 - 28 = 37
Which number sentence would help Marty check his answer?
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 AP 2010 Booklet 1 #19 Look at the number sentence below.
23 + 18 =
Which of the following could be put in the box to make the number sentence true?
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 AP 2009 No Tools #3 In which box can 6 be placed to make the equation true?
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 KU 2009 #12 What number correctly completes the number sentence below?
X 6 = 6
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 AP 2009 #20 Joseph adds 63 + 17 in his head.
Which of the following will give Joseph the same answer?
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 PS 2009 #33 What number can be placed in both boxes to make the following expressions have the same value?
X 7
X 6
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 2008 No Tools #3 Which equation below is correct?
〇 8 + 16 = 8 + 4 + 13
〇 8 + 16 = 8 + 3 + 13
〇 8 + 16 = 8 + 6 + 13
〇 8 + 16 = 8 + 7 + 13
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 2008 No Tools #4 What number goes in the box to make the number sentence true?
33 + = 7
〇 22
〇 24
〇 25
〇 26
Patterning and Algebra
PV2 – demonstrate an understanding of equality between pairs of expressions,
using addition and subtraction of one- and two-digit numbers;
PV2 2008 #20 Wayne is solving the addition problem shown below.
16 + 7 =
He breaks 7 apart into two numbers. He adds one number to 16 to make 20.
What is the other number that needs to be added to 20 to solve the problem?
〇 2
〇 3
〇 4
〇 7